Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/90, 40/21, 33/852 quickly i.e. 3080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/90, 40/21, 33/852 is 3080.
LCM(70/90, 40/21, 33/852) = 3080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/90,40/21,33/852
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 70,40,33
Least Common Multiple of Numerators i.e. LCM of 70,40,33 is 9240.
GCF of Denominators means GCF of 90,21,852 as per the given fractions.
GCF of 90,21,852 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,40,33
2 | 70, 40, 33 |
5 | 35, 20, 33 |
7, 4, 33 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 4 x 33 = 9240
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 70,40,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,40,33) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,40,33) x common factors =1 x 10 = 10
LCM(70,40,33) = ( 70 × 40 × 33 ) / 10
LCM(70,40,33) = 92400 / 10
LCM(70,40,33) = 9240
Lets's calculate GCF of 90,21,852
3 | 90, 21, 852 |
30, 7, 284 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240/3
Therefore the LCM of Fractions 70/90,40/21,33/852 is 3080
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 90,21,852 . The biggest common factor number is the GCF number.
So the greatest common factor 90,21,852 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 70/90, 40/21, 33/852?
Answer: LCM of Numerators as per given numbers 70/90, 40/21, 33/852 is
LCM of Numerators i.e. for 70,40,33 is 9240
GCF of denominators i.e. for 90,21,852 is 3.
Thus, LCM of Fractions is 3080.Finally, LCM of Fractions for 70/90, 40/21, 33/852 is 3080.